Reuters was not immediately able to confirm the draft independently. If correct it would an unprecedented disclosure of a draft Supreme Court opinion.
The Supreme Court and the White House declined to comment.
"Roe was egregiously wrong from the start," Justice Samuel Alito wrote in the draft opinion which is dated 10 February, according to Politico.
Four of the other Republican-appointed justices - Clarence Thomas, Neil Gorsuch, Brett Kavanaugh and Amy Coney Barrett - voted with Alito in the conference held among the justices, the report added.